Differences of integral-type operators from weighted Bergman spaces to Bloch spaces of the unit ball

Abstract

We investigate the following integral-type operatorwhere with and the collection of all the holomorphic self-mappings of The boundedness and compactness of the differences of integral-type operators acting from the weighted Bergman space to the Bloch space (or the little Bloch space) in the unit ball were characterized. At the same time, we obtained the estimates for the essential norms of the differences.